INVARIANTS OF VECTOR DISTRIBUTIONS OF
CORANK 2
Bronislaw Jakubczyk
Stefan Banach International Mathematical Center,Warsaw, Poland
We shall discuss equivariants and invariants of vector distributions D ⊂
T M of corank 2 on even-dimensional manifolds. We shall assign, to a given
distribution D, a field of characteristic lines in the annihilator D⊥ , as well
as a field of characteristic lines in D. These fields have canonical normalizations, which yield fields of normalized characteristic 1-forms and normalized
characteristic vector fields. The equivalence problem for such distributions
is reduced to equivalence of tuples of differential 1-forms or tuples of vector
fields. We give explicit criteria for equivalence of generic distributions. In
particular, we construct explicitely functional invariants.
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